Answer:
35x + 60y = 690
Why:
We need to correct number to represent X (which is 35) and Y (which is 60).
And 35x + 60y = 690, 690 being the total, fits what we need to answer.
All of the other options display an incorrect number for the X and Y values.
Answer:
35x + 60y = 690
Step-by-step explanation:
(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!
Answer:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Step-by-step explanation:
1)
Given the expression
[tex]10!\times \:20![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]
[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
Now, multiplying the result
[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]
so
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
Thus, we conclude that:
[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]
2)
Given the expression
[tex]17!\:\times \:9![/tex]
[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]
[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]
[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
Now, multiplying the result
[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]
so
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Thus, we conclude that:
[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]
Which symbol will make the number sentence true?
Answer:
<
Step-by-step explanation:
8/11=0.72727272727272727272727272 just repeated over and over again so its less
Answer:
b
Step-by-step explanation:
Is each graph a function or not?
Answer:
IN THIS ORDER
NO
NO
YES
YES
NO
YES
Step-by-step explanation:
Hope this helped if I got it wrong, sorry ill edit it if I did :)
Find the original price of a pair of shoes if the sale price is $63 after a 30% discount.
Answer:
$90
Step-by-step explanation:
To find the original price, divide 63 by 0.7:
63/0.7
= 90
So, the original price is $90
Answer:
$90.00
Step-by-step explanation:
First of all let x be the price of the pair of shoes that you are trying to find.
next since we have 30percent off that price we have
x - 0.30x = 0.70x
which in turn is equal to 63 dollars
so our expression is
0.70x = $63
x = 63 / 0.70
= $ 90.00
What is the temperature if it is 9° colder than 15 F
Answer:
24 Degrees Farinhieght.
Step-by-step explanation:
15 degrees farinhieght added to 9 is 24 degrees.
A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?
Answer:
12.75
Step-by-step explanation:
If you make a proportion: 48/1=612/x
1(612)= 612
612/48
12.75 hours
At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.
What is the distance?A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.
A car is traveling at a rate of 48 miles per hour.
To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:
⇒ distance ÷ rate
⇒ 612 miles / 48 miles/hour
Apply the division operation, and we get
⇒ 12.75 hours
Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?
O y = -3x - 2
y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2
x2+2x+3 factorization
Answer:
Not possible
Step-by-step explanation:
Given quadratic polynomial = x² + 2x + 3.
Possible factors of 3 are , 1 & 3 .
And we can get 2 from 3 and 1 in only one way that is 3 - 1 .
=> x² + 2x + 3 .
=> x² + 3x - x + 3 .
=> x ( x + 3 ) - 1 ( x - 3 )
Hence the factorisation is not possible .
Find the slope of the line represented by the table
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
WHATS THE ANSWER HELP
solve by using elimination 2x-6y=18 -2x + 4y = -6 ( , )
Answer:
x = -9,
y = -6
Step-by-step explanation:
2x - 6y =18
-2x + 4y = -6
you can add the equations together as is and eliminate x
-2y = 12
y = -6
then plug back in,
2x - 6(-6) = 18
2x + 36 = 18
2x = -18
x= -9
25 points question is below
Answer:
x - 5y = 30
Step-by-step explanation:
If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway
in a box of sweets 7/10 of the sweets are red the rest are purple. what is the ratio of red sweets?
Answer:7:3
Step-by-step explanation:
Which diagram demonstrates the problem 3x 1/4
Answer:
A.
Step-by-step explanation:
3 * 1/4 = 3/4
Which answer shades 3 out of 4 blocks? A.
Answer:
the answer is A
Step-by-step explanation:
3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar
write an equation of a line that is perpendicular to given line that passes through the given point 5y+2x=-15 T(5,-5)
Step-by-step explanation:
The answer is on the bottom if you just wanna scroll down.
The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!
Answer:
y+5=5/2(x-5)
Hope this helps! (If it's wrong, plz leave sum comments. thx lol)
which statement is true regarding the functions on the graph?
Answer:
f(3)=g(3)
Step-by-step explanation:
the only one i see is that
f(3)=g(3)
because the two functions intersect there
that means the two values are the same
f(x) = x2. What is g(x)?
10. DESIGN Mr. Hagarty is choosing tiles to design a kitche backsplash for a rectangular area 65 inches wide and 9 in tall . Design a backsplash using each type of rhombi-shape tile that minimizes cost. a. diagonals of 1 inch and 1.5 inches, $0.05 each b. diagonals of 1.5 inches and 2 inches, $0.07 each Areas of Trapezoids, Rhombi, and Kites 2 © B O DO
Answer:
I honeslty dont know I just need points to answer a question
Step-by-step explanation:
hope you find the answer youre looking for!
Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False
Answer:
True
Step-by-step explanation:
Given
In JKL, we have:
[tex]\angle J = 27[/tex]
[tex]\angle K = 90[/tex]
In WXY, we have:
[tex]\angle Y = 63[/tex]
[tex]\angle X = 90[/tex]
Required
Is JKL ~ WXY?
In both triangles, we already have one similar angle (90)
Next, is to determine the third angles in both triangles.
In JKL
[tex]\angle J + \angle K + \angle L = 180[/tex]
We have that:
[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]
The expression becomes:
[tex]27 + 90 + \angle L = 180[/tex]
[tex]117 + \angle L = 180[/tex]
[tex]\angle L = 180-117[/tex]
[tex]\angle L = 63[/tex]
In WXY
[tex]\angle W + \angle X + \angle Y = 180[/tex]
We have that:
[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]
The expression becomes:
[tex]\angle W + 63 + 90 = 180[/tex]
[tex]\angle W + 153 = 180[/tex]
[tex]\angle W = 180-153[/tex]
[tex]\angle W = 27[/tex]
The three angles in JKL are:
[tex]\angle J = 27[/tex] [tex]\angle K = 90[/tex] [tex]\angle L = 63[/tex]
The three angles in WXY are:
[tex]\angle W = 27[/tex] [tex]\angle X = 90[/tex] [tex]\angle Y = 63[/tex]
By comparing the angles, we can conclude that both triangles are similar because of AAA postulate (Angle-Angle-Angle)
I don’t know the answer
I believe the answer would be yes. Since your dealing with Ratios it would be simple to understand that they are proportional. I'll explain a little better.
This means that if you double this ratio, it will still be equivalent to 1:3
1:3
This is also proportional because this number will always be equivalent to itself.
7:21
-----------------------------------------------------------------------------------------------------------------Hope this helps
-Miri
Tim is clearing brush from a large piece of land. The table shows how many acres he has cleared over time. Tim clears the same amount of brush each day.
Complete the table to determine how many days it will take Tim to clear 1 acre and how many acres Tim will clear in 8 days.
Use the drop down menus to select your answers.
Answer:
first box is 3 and second is 2 2/3
how do i right the half of x pls help will give brainliesst answer
Answer:[tex]\frac{1}{2}[/tex]x or x/2
Step-by-step explanation:
What is the value of −|−20| + |−8| ÷ |−4| − |6|?
ANSWER ASAP ITS FOR FINALS
Name Geometry B Final ID: 1 Date Period Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior, 1) 2) the 3) 4) # Find the measure of angle b 6) 5)
Answer:
9. 66°
10. 44°
11. [tex]2\sqrt{7}[/tex]
12. [tex]2\sqrt{3}[/tex]
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = [tex]\sqrt{28}[/tex]
a = [tex]2\sqrt{7}[/tex]
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a = [tex]\sqrt{12}[/tex]
a = [tex]2\sqrt{3}[/tex]
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) = [tex]\frac{20}{x}[/tex]
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) = [tex]\frac{x}{18}[/tex]
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!
2 mi = ____ ft Please help! :((
Answer:
2 mi = 10560 ft
Step-by-step explanation:
you coulve searched it up
Answer:
you multiply it by 2 so its 10560
How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.
Answer:
It will be 64 cubes.
Step-by-step explanation:
if one side is 8 inches then 8/2 is 4
to fill one face, 4 × 4 = 16
to fill a cube 16 × 4 = 64
Answer: 64 cubes will fit
Factor x3 + 2x2 + x completely.
Answer:
[tex] {x}^{3} + 2 {x}^{2} + x[/tex]
[tex]x(x {}^{2} + 2x + 1)[/tex]
[tex]x(x + 1) {}(x + 1)[/tex]
[tex]x(x + 1) {}^{2} [/tex]
Answer:
C. x(x+1)2 on edu 2021
Step-by-step explanation:
F(x)=x/2 +8, what is f(x) when x = 10?
4
ОООО
13
36
Answer:
13
Step-by-step explanation:
Just replace x with 10, so F(10) = 10/2 + 8. Which is 5 + 8.
a line passes through the points (1, 4) and (3, –4). which is the slope of the line?
stupid thin wont load
Please help me 20 points!!!!!
Answer:
A. 0.4 km
B. 48 fruits to 12 vegetables
C. 72 hours
60%
Step-by-step explanation:
1 km = 1000 m
You have 400 m
1000m/1km = 400m/1000m
400/1000
0.4km
4:1
Ok so an easy way to do this one is multiplication.
you need the number of fruits to be 4 times more than the number of vegetables.
A would be 2:1 because 16 is 2 times more than 8
B would be 4:1 because 48 is 4 times more than 12
C would be 8:1 because 24 is 8 times more than 3
D would be 3:1 because 60 is 3 times more than 20
B would be the correct answer
If they traveled 216 miles in 3 hours, to find average you have to divide miles by hours.
216/3
72 hours
The tigers won 12 of their last 20 games.
12/20
0.6
Percent is 100 times the decimal.
0.6*100
60%
Don't be afraid to reach out with any more questions! I hope this helps!